Golden Globes, USA2000 - Golden Globe - Best Performance by an Actor in a Supporting Role in a Motion Picture for Magnolia (1999)

1997 - Golden Globe - Best Performance by an Actor in a Motion Picture - Comedy/Musical for Jerry Maguire (1996)

1990 - Golden Globe - Best Performance by an Actor in a Motion Picture - Drama for Born on the Fourth of July (1989)

Hasty Pudding Theatricals, USA1994 - Man of the Year

Italian National Syndicate of Film Journalists2000 - Special Silver Ribbon

Kansas City Film Critics Circle Awards1989 - KCFCC Award - Best Supporting Actor for Rain Man (1988) Tied with Dean Stockwell for Married to the Mob (1988) and Martin Landau for Tucker: The Man and His Dream (1988).